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MTH 121 - Summer - 2005
Essex County College - Division of Mathematics
Test # 11 - Created May 31, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers alge-
braically whenever possible. You have at most 110 minutes2 to take this 100 point exam. No
cellular phones allowed.
1. For what values of x does the graph of f (x) = x + 2sinx have a horizontal tangent? 9 points
2. Find fprime (a) using the definition. 9 points
f (z) = 2z + 1z + 3
1This document was prepared by Ron Bannon using LATEX2?.
28:30 a.m. until 10:20 a.m..
1
3. If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet after t seconds
is given by h(t) = 50t?16t2.
(a) Find the average velocity for the time period beginning at t = 3 and lasting
i. 1 second 2 points
ii. 0.1 second 2 points
iii. 0.01 second 2 points
(b) Predict the instantaneous velocity when t = 3. 1 points
4. Find the number(s) at which f is discontinuous. At which of these number(s) is...

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